MAT. SCI. & ENG: AN INTO. WILEYPLUS
MAT. SCI. & ENG: AN INTO. WILEYPLUS
10th Edition
ISBN: 9781119472001
Author: Callister
Publisher: WILEY
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Chapter 6, Problem 7QAP

(a)

To determine

The maximum load.

(b)

To determine

The maximum elongation.

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= a2+ Assume an origin is connected to a destination with two routes. Assume the travel time of each route has a linear relationship with the traffic flow on the route (t₁ = α₁ + b₁x₁ ; t₂ b2x2). Determine under what condition (e.g. a relationship among the parameters of the performance functions) tolling cannot reduce the total travel time of the two routes.
A suburb has 2000 households. The council hired two transport consulting companies to predict the generated work trips from within the suburb after building a few residential complexes. The new buildings will increase the number of households to 2500. The following information is provided: Type Household Size Household Count Projected Household Count 1 1 500 800 2 2 800 900 3 3 700 800 Each company has conducted different travel surveys from 200 households based on different sampling methods. The work trip generation models are as follows: Company A: T₁ = -0.1 + 0.8 (household size) Company B: T₁ = 0.1 + 0.5 (household size) a. If the total number of current work trips is 2700, which model should be used for prediction? Why? b. What are the possible reasons for the difference between the two models? C. As a transport engineer working for council, propose a new and more accurate model based on Companies A and B models. d. Based on the new model in Part C, predict the number of work…
Consider the following static route choice problem where 110 vehicles travel from point A to point B. The corresponding travel time (in minutes) of each link is as follows: t₁ = x1; t₂ = x2 + 20; t3 = x3 + 10; t₁ = 3x4 where x; denotes the number of vehicles that choose link i. Find the number of vehicles that travel on each link when a. The user equilibrium condition (UE) is satisfied, where vehicles select the route with the minimum travel time; and b. The system optimum condition (SO) is satisfied, where the total travel time is minimised. C. Report the total delay savings when satisfying SO instead of UE. 2 A B 3 4
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